Linear Programming-Profit Maximization Project (Systems of Linear Inequalities)
Ms Mano
7 Followers
Grade Levels
8th - 10th
Subjects
Resource Type
Standards
CCSSHSA-CED.A.3
CCSSHSA-REI.C.5
CCSSHSA-REI.C.6
CCSSHSA-REI.D.12
CCSSHSF-IF.A.2
Formats Included
- Word Document File
Pages
10 pages
Ms Mano
7 Followers
Description
Students will first examine a model company working to maximize profits within certain supply, demand and cost constraints. They will then create their own company and their own constraints. They will find the solutions to a systems of linear functions in order to maximize their own profits.
Total Pages
10 pages
Answer Key
N/A
Teaching Duration
3 days
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Standards
to see state-specific standards (only available in the US).
CCSSHSA-CED.A.3
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
CCSSHSA-REI.C.5
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
CCSSHSA-REI.C.6
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
CCSSHSA-REI.D.12
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
CCSSHSF-IF.A.2
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.
Reviews
Questions & Answers
7 Followers
